bmb428_problemset24 - BMB428 Physical Chemistry with...

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BMB428 Dr. Song Tan Physical Chemistry with Biological Applications Fall 2007 1 Problem Set 24: Enzyme Kinetics - the Basics Due Dec 4, 2007 1. Consider the following set of elementary steps for an enzyme catalyzed reaction: E + S E•S k 1 k -1 E•S E + P k 2 Using the same techniques that we applied to deriving rate laws for chemical reactions, derive an expression for d[P]/dt. Your answer should contain the term kk k + 12 1 which we will define as K m , the Michaelis-Menten constant. 2. The equation that you derived in question 1 is not particularly useful since it (hopefully) has a term with the free enzyme concentration, [E]. Since enzyme concentrations are typically VERY low during steady state kinetics, it is difficult to determine what fraction of the enzyme has no substrate bound, E, and what fraction is in the E•S form. Fortunately, it is possible to eliminate the [E] term. Use the equation [E] 0 = [E] + [E•S] to derive a new equation for d[P]/dt. [E] 0 is the total (initial) enzyme concentration that is added to the reaction.
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